Many homes have small gables along the front of the home. The photo at right shows an example of the type of gable above the front door that we are constructing for this year's house. The width of the gable immediately above the front door is 10 feet.
The main roof has a 3/12 pitch. The small gable will have a 3/12 pitch. It may be helpful to build a model of this portion of the roof out of balsa wood.
1. Find the measure of the angle that needs to be cut on the end of the board found in oval #1.
2. Find the measure of the angle that needs to be cut on the end of the rafter found in oval #2.
3. In oval #3, there are 2 angles that must be cut on the end of the rafter. This is called a compound angle. What are the measures of each of the two angles?
Note: Students will need to know the pythagorean theorem, slope, and right triangle trig.
